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IUPAC Physisorption Isotherm Types I–VI

The shape of a gas adsorption isotherm says a lot about a material before any model is applied. The IUPAC 2015 Technical Report (Thommes et al., Pure Appl. Chem. 87, 1051) updated the classic 1985 scheme to eight types. This page summarises each one and how to use the classification in practice.

Published: October 4, 2026

Pore size classes (IUPAC)

ClassPore width
Micropores< 2 nm (ultramicropores < ~0.7 nm; supermicropores ~0.7–2 nm)
Mesopores2–50 nm
Macropores> 50 nm
Nanopores (umbrella term)up to ~100 nm

The eight isotherm types

TypeShapeTypical materialsWhat it tells you
I(a)Steep uptake at very low p/p₀, then a plateauMicroporous solids with mainly narrow micropores (< ~1 nm), e.g. many zeolitesMicropore filling; the plateau gives the micropore volume
I(b)Uptake extends to somewhat higher p/p₀ before the plateauWider micropores and narrow mesopores (< ~2.5 nm), e.g. some activated carbonsBroader micropore distribution
IIReversible; knee (point B) then steadily rising multilayerNon-porous or macroporous powdersUnrestricted monolayer–multilayer adsorption; ideal for BET
IIIConvex to the p/p₀ axis, no point BWeakly interacting systems, e.g. water on hydrophobic non-porous surfacesAdsorbate–adsorbate interactions dominate; BET not applicable
IV(a)Like Type II at low p/p₀, then capillary condensation with a hysteresis loop and usually a plateauMesoporous oxides, MCM-41/SBA-15 with pores wider than ~4 nm (N₂, 77 K)Mesopores; analyse with BJH or DFT
IV(b)As IV(a) but fully reversibleCylindrical mesopores narrower than ~4 nm, or conical/closed-end mesoporesNarrow mesopores
VLike Type III at low p/p₀, then pore filling, with hysteresisWater on hydrophobic microporous or mesoporous adsorbentsWeak interaction plus pore filling
VIStepwiseLayer-by-layer adsorption on highly uniform non-porous surfaces, e.g. Ar or Kr on graphitised carbon black at low temperatureSurface homogeneity

How to classify your isotherm

  1. Plot it on a linear p/p₀ axis (and on a log axis for the low-pressure region if micropores are suspected).
  2. Look at the low-pressure region. A near-vertical rise below p/p₀ ≈ 0.01 means micropores (Type I). A rounded knee means a monolayer forms first (Types II, IV). No knee at all means weak interaction (III, V).
  3. Look for a loop. Hysteresis between p/p₀ ≈ 0.4 and 1 means capillary condensation in mesopores. Classify it with the H1–H5 scheme.
  4. Look at the top end. A plateau means the pores are filled and there is little external or macropore surface. Continued rise near p/p₀ = 1 means macropores or interparticle voids.
  5. Accept composites. Real materials often combine features, for example Type I + IV for hierarchical zeolites. Describe what you see rather than forcing one label.

Wording it correctly

  • “Type IV(a) isotherm with an H1 hysteresis loop” — ordered mesoporous silica such as SBA-15.
  • “Type II isotherm with an H3 loop” — aggregates of plate-like particles (e.g. clays). Often written as “Type IV with H3”, but an H3 adsorption branch has no plateau.
  • “Composite Type I/IV(a) isotherm with an H4 loop” — micro-mesoporous carbons or zeolites with intracrystalline mesopores.
  • Cite the source of the classification: M. Thommes et al., Pure Appl. Chem. 2015, 87, 1051–1069.

From isotherm type to analysis method

IsothermSurface areaPore analysis
I(a), I(b)BET with Rouquerol criteria (report as BET area)t-plot / αs, DR, NLDFT/QSDFT; Ar at 87 K or CO₂ at 273 K for ultramicropores
IIBET (standard range)External surface only; MIP for macropores
IV(a), IV(b)BET (standard range)BJH (correct branch) or NLDFT
III, VBET not applicableReport uptake; consider a different adsorbate

Related guides

Frequently asked questions

What is a Type IV isotherm?

A Type IV isotherm is given by mesoporous adsorbents. Monolayer–multilayer adsorption is followed by capillary condensation in the mesopores, usually ending in a plateau. Type IV(a) shows a hysteresis loop (for N₂ at 77 K, pores wider than about 4 nm); Type IV(b) is reversible (narrower or closed-end mesopores).

Is "Type IV isotherm with H3 hysteresis" correct?

It is widely used, but in the IUPAC 2015 description an H3 loop has an adsorption branch resembling Type II, with no plateau at high p/p₀. It is typical of plate-like particle aggregates or incompletely filled macropore networks. "Type II isotherm with an H3 loop" is often the more accurate wording.

What are the IUPAC pore size classes?

Micropores are narrower than 2 nm, mesopores 2–50 nm and macropores wider than 50 nm. Micropores are subdivided into ultramicropores (< ~0.7 nm) and supermicropores (~0.7–2 nm). "Nanopores" covers all three up to about 100 nm.

Which isotherm types allow a valid BET area?

BET is most reliable for Type II and Type IV(a)/(b). For Type I it can be applied in a restricted low-pressure range selected with the Rouquerol criteria, and gives a characteristic "BET area" rather than a true surface area. It is not applicable to Types III and V.